Elementary arithmetics

Given the number $82361$, round this number to nearest thousands, nearest hundreds and subtract the results.

How many odd double-digit numbers give the reminder of $2$ when divided by $9$ and are divisible by $13$ as well?

The number $725233+x$ after dividing by $9$ is to give a remainder of $5$. Which of the given numbers shall we substitute for $x$?

In mathematics, the product of all positive integers less than or equal to a non- negative integer $n$ is denoted by $n!$. For example: $5!=5\cdot 4\cdot 3\cdot 2\cdot 1=120$. Which of the following statements is true?